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344010122043440 = 24517324856222691
BaseRepresentation
bin100111000111000000001100…
…1000111111010000000110000
31200010001001020212222101100112
41032032000121013322000300
5330042230212220342230
63215352022433040452
7132313624342513526
oct11616003107720060
91603031225871315
10344010122043440
119a680967628216
12326bb5719b6128
13119c5027846508
1460d42706a2316
1529b875ce9ed95
hex138e0191fa030

344010122043440 has 40 divisors (see below), whose sum is σ = 804446791203888. Its totient is φ = 136808649685760.

The previous prime is 344010122043431. The next prime is 344010122043569. The reversal of 344010122043440 is 44340221010443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 344010122043397 and 344010122043406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12428097506 + ... + 12428125185.

Almost surely, 2344010122043440 is an apocalyptic number.

It is an amenable number.

344010122043440 is an abundant number, since it is smaller than the sum of its proper divisors (460436669160448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344010122043440 is a wasteful number, since it uses less digits than its factorization.

344010122043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24856222877 (or 24856222871 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 344010122043440 its reverse (44340221010443), we get a palindrome (388350343053883).

The spelling of 344010122043440 in words is "three hundred forty-four trillion, ten billion, one hundred twenty-two million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 24856222691 49712445382 99424890764 124281113455 198849781528 248562226910 397699563056 497124453820 994248907640 1988497815280 4300126525543 8600253051086 17200506102172 21500632627715 34401012204344 43001265255430 68802024408688 86002530510860 172005061021720 344010122043440